is an experimental p r o g r a m m i n g system which can assist scientists in the manipulation of mathematical expressions. It is an extension of F O R T R A N IV, thus providing the capability of performing both numeric and non-numeric c o m putations a n d m a n i p u l a t i o n s i n t h e s a m e p r o g r a m .
2) ami ily tleriviUivo A'' aiv i)i)lynomi;ils which arose luiturally in a recent applicalioii ol" I'M, where it. was desired to find w lifllicr A* has any nmUiple fadors. Both pairs of polynomials luin out lo he relatively prime. Using the old algorithm, the t;omputatioii (1) required 0.64 seconds; using the new algorithm, it required 0.22 seconds. The adviuitage of the new algoritlim increases rapidly with the complexity of the polynomials to which it is applied. It did the computiitiou (2) in 0.30 minutes, while the old algorithm required 21.11 minutes!
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